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Finding the Fourth Proportional to 10,478.32, 14,460.07 and 5,762.59

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Solution

The fourth proportional to 10,478.32, 14,460.07 and 5,762.59 is: 7,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.32 : 14,460.07 = 5,762.59 : x
  2. Step 2: Convert to fraction form
    10,478.32/14,460.07 = 5,762.59/x
  3. Step 3: Cross multiply
    10,478.32x = 14,460.07 × 5,762.59
  4. Step 4: Simplify right side
    10,478.32x = 83,327,454.78
  5. Step 5: Solve for x
    x = 83,327,454.78/10,478.32
  6. Step 6: Final answer
    x = 7,952.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.